DLMF:20.5.E15 (Q6782)

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Language	Label	Description	Also known as
English	DLMF:20.5.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta_{2}\left(z\middle|\tau\right)=\theta_{2}% \left(0\middle|\tau\right)\*\lim_{N\to\infty}\prod_{n=-N}^{N}\lim_{M\to\infty}% \prod_{m=1-M}^{M}\left(1+\frac{z}{(m-\tfrac{1}{2}+n\tau)\pi}\right),}}

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DLMF:20.5.E15

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Defining formula

{\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}

C20.S2.SS1.m1afdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle m}}

C20.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C20.S1.XMD2.m1ndec

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Defining formula

{\displaystyle{\displaystyle z}}

C20.S1.XMD3.m1ndec

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Defining formula

{\displaystyle{\displaystyle\tau}}

C20.S1.XMD4.m1fdec

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